Methods of Calculating Prediction Error Variance and Prediction Accuracy for Restricted Best Linear Unbiased Prediction of Breeding Values.
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| Title: | Methods of Calculating Prediction Error Variance and Prediction Accuracy for Restricted Best Linear Unbiased Prediction of Breeding Values. |
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| Authors: | Satoh, Masahiro1 (AUTHOR) masahiro.satoh.d5@tohoku.ac.jp |
| Source: | Journal of Animal Breeding & Genetics. Jul2025, Vol. 142 Issue 4, p363-372. 10p. |
| Document Type: | Article |
| Subjects: | Prediction algorithms, Estimation theory, Statistical models, Mathematical statistics, Statistical measurement, Heritability, Selection bias (Statistics), Phenotypes |
| Author-Supplied Keywords: | prediction accuracy prediction error variance relative desired changes restricted best linear unbiased prediction restricted breeding values |
| Abstract: | Prediction error variance (PEV) and prediction accuracy (PA) of breeding values (BVs) are essential for formulating breeding plans and predicting response to selection. However, restricted best linear unbiased prediction method (RBLUP method) carries many unknowns: in particular, the formulas for calculating PEV and PA are not clear. New findings were obtained using the RBLUP method. The uniqueness of RBLUP of BVs was proven. The formulas of PEV and PA for the RBLUP of BVs were derived from restricted mixed model equations. A method was also devised for easily calculating the PEV and PA for the RBLUP of BVs. Finally, the relationship between the RBLUP and ordinary BLUP of BVs was derived. It has become easier to calculate the PEV and PA for the RBLUP of BVs. This method is particularly effective for calculating the PEV and PA when applying the RBLUP method to achieve relative desired changes in all traits. This has also made it possible to predict the response to selection using the RBLUP method. [ABSTRACT FROM AUTHOR] |
| Copyright of Journal of Animal Breeding & Genetics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Author Affiliations: | 1Graduate School of Agricultural Science, Tohoku University, Sendai Miyagi, , Japan |
| Full Text Word Count: | 8137 |
| ISSN: | 0931-2668 |
| DOI: | 10.1111/jbg.12910 |
| Accession Number: | 186459467 |
| Database: | Veterinary Source |
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| Abstract: | Prediction error variance (PEV) and prediction accuracy (PA) of breeding values (BVs) are essential for formulating breeding plans and predicting response to selection. However, restricted best linear unbiased prediction method (RBLUP method) carries many unknowns: in particular, the formulas for calculating PEV and PA are not clear. New findings were obtained using the RBLUP method. The uniqueness of RBLUP of BVs was proven. The formulas of PEV and PA for the RBLUP of BVs were derived from restricted mixed model equations. A method was also devised for easily calculating the PEV and PA for the RBLUP of BVs. Finally, the relationship between the RBLUP and ordinary BLUP of BVs was derived. It has become easier to calculate the PEV and PA for the RBLUP of BVs. This method is particularly effective for calculating the PEV and PA when applying the RBLUP method to achieve relative desired changes in all traits. This has also made it possible to predict the response to selection using the RBLUP method. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 09312668 |
| DOI: | 10.1111/jbg.12910 |